Answer:
0871
Step-by-step explanation:
Using geometric distribution, the probability that the first person has an injection-site reaction, but the next two do not is 0.087131.
What is geometric distribution?Geometric distribution is "a discrete probability distribution that represents the probability number of successive failure before a success obtained in a Bernoulli trial".
According to the question,
Patients experience injection-site reactions with current needle is 11%.
Number of people receive injections with this type of needle is 3.
The probability mass function of Geometric distribution (PMF) is given as
[tex]P(1 - p)^(x-1)[/tex].
P = 11 % = 0.11
In order to find the probability that the first person has an injection-site reaction, but the next two do not
= [tex]0.11(1-0.11)^(3-1)[/tex]
= [tex]0.11(0.89)^2[/tex]
=0.11(0.7921)
=0.087131
Hence, using geometric distribution, the probability that the first person has an injection-site reaction, but the next two do not is 0.087131.
Learn more about geometric distribution here
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A sand timer has 60 ounces of sand in it. Sand trickled down at a rate of 12 ounces every 6 seconds. How long will it take for all the sand to fall into the bottom? It will take seconds.
Answer:
30 sec.
Step-by-step explanation:
please help ill give brainliest
( 30 points )
Answer:
option 2
Step-by-step explanation:
Answer:
-2 2/3, -2.5, 1.3, 1 1/2, 3
Step-by-step explanation:
So least to greatest
First we should look at the negatives
The smallest number is -2 2/3
The second smallest number is -2.5
The third smallest number is 1.3
The fourth smallest number is 1 1/2
The last number should be the biggest number which would be 3 in this problem
To make this easier you can convert all the fraction to decimal points too
-2 2/3 would be around -2.66
1 1/2 would be 1.5
Hope i helped you
Graph the inverse of the function, f (x) = ( x+ 2)^3-4
Show all work in finding the inverse.
Answer:
The inverse of this function is:
[tex]f(x) = \sqrt[3]{x + 4} - 2[/tex]
Step-by-step explanation:
To find the inverse function, we can simply swap x and f(x) and solve for the latter:
[tex]x = (f(x) + 2)^3 - 4\\x + 4 = (f(x) + 2)^3\\\sqrt[3]{x + 4} = f(x) + 2\\f(x) = \sqrt[3]{x + 4} - 2[/tex]
PLEASE HELP ME. The dot on this number line represents Kelsies debt. Which statement accurately describes her debt?
Answer:
Kelsie's debt is less than 20$
Step-by-step explanation:
which statement is true 50.1 9.008 123.466>132.465 3.37<3.368
Answer:9.07 > 9.008
Step-by-step explanation:
Because I know bic
Question 9 of 10
What is the value of y?
8
60-
12
12
60-
12
O A. 360
B. 120°
C. Cannot be determined
D. 60°
Answer:
D 60° is the correct answer.
because: It is equilateral triangle
(triangle, which's sides and angles are equal)
if sides are equal, angles are equal too.
or
if we have two angle guven, then subtract their addition from 180° to get third angle.
please give me brainlest ❤️
What is the sale price of a $850 Xbox with a markdown of 20%?
I need help on my homework
Answer:
[tex]\displaystyle m\angle AED=32.5^\circ[/tex]
Step-by-step explanation:
Angles in a Circle
An exterior angle of a circle is an angle whose vertex is outside a circle and the sides of the angle are secants or tangents of the circle.
Segments AE and DE are secants of the given circle. They form an exterior angle called AED.
The measure of an exterior angle is equal to half the difference of the measure of their intercepted arcs.
Intercepted arcs in the given circle are AD=113° and BC=48°. The exterior angle is:
[tex]\displaystyle m\angle AED=\frac{AD-BC}{2}[/tex]
[tex]\displaystyle m\angle AED=\frac{113^\circ-48^\circ}{2}=\frac{65^\circ}{2}[/tex]
[tex]\displaystyle m\angle AED=32.5^\circ[/tex]
expression px2. p=3,×=4
Answer:
px^2= (3)4= 12^2= 144
Step-by-step explanation:
7x + y = 15
x = y+ 1
Answer:
download mathspace tbh that will help you more then anyone on here can
Company x has 128000 in a savings account that pays 6% interest per year. How much interest will it earn at the end of the year?
Step-by-step explanation:
234'00
At a certain store volleyballs with a radius of 4 inches are sold in boxes in the shape of a cube. What is the volume of the smallest box that can hold a
Answer:
512 cube inches
Step-by-step explanation:
The radius of volleyballs is 4 inches, thus;
diameter of the balls = 2 x radius
= 2 x 4
= 8
The diameter of each ball is 8 inches.
Since the box has the shape of a cube, the smallest box that can hold a volleyball would have its dimensions equal to the diameter of the balls.
So that for the cube,
length = width = height = 8 inches
volume of a cube = [tex]l^{3}[/tex]
volume of the smallest box = [tex]8^{3}[/tex]
= 512 cube inches
The volume of the smallest box that can hold a volleyball is 512 cube inches.
What percent of 285 is 15?
Round your answer to the nearest tenth of a percent
Answer:
The answer is 5.26
Step-by-step explanation:
First divide 15 and 285(15 ➗ 285) then multiply 100 to the quotient, then round your final answer to the nearest tenth.
It is now 8:59 a.m. when the bell rings at 9:01 am. Damian will be late for science class for the 3rd time this week. He must get from one side of the school to the other by hurrying down 3 different hallways. He runs down the first hallway, a distance of 35.0 at a speed of 3.5 m/s. The second hallway is crowded with students and he covers its 4.80 m length at a speed of 1.20 m/s. The final hallway is empty and Damian covers its 60.0 m length at a speed of 5.00 m/s.
How long does it take him to cover the 1rst hallway? The second one? The third one?
Answer:
1: 10 seconds 2: 4 seconds 3: 12 seconds
Step-by-step explanation:
35.0/3.5= 10
4.80/1.20= 4
60.0/5.00= 12
A manufacturing process makes rods that vary slightly in length but follow a normal distribution with mean length 25 cm and standard deviation 2.60. What is the probability of randomly selecting a rod that is shorter than 22 cm
Answer:
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
Step-by-step explanation:
Step(i):-
Given mean of the Population = 25cm
Given standard deviation of the Population = 2.60
Let 'x' be the random variable in normal distribution
Given x=22
[tex]Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15[/tex]
Step(ii):-
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = P( Z<-1.15)
= 1-P(Z>1.15)
= 1-( 0.5+A(1.15)
= 0.5 - A(1.15)
= 0.5 - 0.3749
= 0.1251
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
I need help plz help thy.
First answer get brainiest
Hello!
[tex]\large\boxed{2x - 8 = 7 - 3x \text{ and } 4(x - 1) = x + 5}[/tex]
We can go through each equation to solve:
1.
x + 3 = 4(x - 1) + 2
Distribute the coefficient outside of the parenthesis:
x + 3 = 4(x) + 4(-1) + 2
Simplify:
x + 3 = 4x - 4 + 2
x + 3 = 4x - 2
Subtract x from both sides:
3 = 3x - 2
Add 2 to both sides:
5 = 3x
Divide both sides by 3:
5/3 = x. This is not the answer.
2.
2x - 8 = 7 - 3x
Add 3x to both sides:
5x - 8 = 7
Add 8 to both sides:
5x = 15
Divide both sides by 5:
5x/5 = 15/5
x = 3. This is an answer.
3.
3(x + 2) = 14 - x
Distribute:
3(x) + 3(2) = 14 - x
3x + 6 = 14 - x
Add x to both sides:
4x + 6 = 14
Subtract 6 from both sides:
4x = 8
Divide both sides by 4:
4x/4 = 8/4
x = 2. This is not an answer.
4.
4(x - 1) = x + 5
Distribute:
4x - 4 = x + 5
Subtract x from both sides:
3x - 4 = 5
Add 4 to both sides:
3x = 9
Divide both sides by 3:
3x/3 = 9/3
x = 3. This is an answer.
5.
5 - 2(x + 1) = x
Distribute:
5 - 2x - 2 = x
Simplify:
3 - 2x = x
Add 2x to both sides:
3 = 3x
Divide both sides by 3:
3/3 = 3x/3
x = 1. This is not an answer.
6.
6(x - 4) = 2x
Distribute:
6x - 24 = 2x
Subtract 6x from both sides:
-24 = -4x
Divide both sides by -4:
-24/(-4) = -4x/(-4)
x = 6. This is not an answer.
Answer:
2x - 8 = 7 - 3x
4(x -1) = x + 5
Step-by-step explanation:
2) 2x - 8 = 7 - 3x
2x + 3x - 8 = 7
5x - 8 = 7
5x = 7 + 8
5x = 15
x = 15/5
x = 3
4) 4(x -1) = x + 5
4x - 4 = x + 5
4x - 4 - x = 5
3x - 4 = 5
3x = 5 + 4
3x = 9
x = 9/3
x = 3
Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.
See the picture
Please
Answer:
100.3
Step-by-step explanation:
Area of parallelogram = 10 * 5 = 50 (As to find the area of a parallelogram, you would need to multiply the height and base: just like a rectangle)
We now have to work out the area of the two semi-circles. Both semi-circles have the same diameter which is 8, which means the semi circles are of the same size. Therefore we would just need to work out the area of 1 semi-circle and apply it to the second semi-circle (if that makes sense).
Area of semi-circle = 1/2(πr2 ) --> The '2' is supposed to be squared of r
radius = 8/2 = 4
1/2 (π*4*4)
Put that in calculator and should equal = 8π (Area of 1 semi-circle)
Area of 2 semi-circles = 8π + 8π = 16π
Total Area = (Area of parallelogram) + (Area of 2 semi-circles)
TA = 50 + 16π
Total Area (Nearest tenths place): 100.3
Hope this helps :)
Answer:
100.2 square unitsStep-by-step explanation:
The figure comprises of two semicircles and a parallelogram.
The two semicircles add to one full circle.
Area of circle:
A = πr² A = 3.14*(8/2)² = 3.14*16 = 50.2 square units (rounded to the nearest tenth)Area of parallelogram:
A = ah A = 10*5 = 50 square unitsTotal area is the sum of the two:
50.2 + 50 = 100.2 square unitsPlz HELP I NEED THIS ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!
A rugby team had 45 players show up for tryouts last year. This year 60 players came to tryouts. What was the percent increase in the number of players that showed up this year compared to last year?
Answer:
33%
Step-by-step explanation:
60-45=15
15/45=0.33
0.33x100=33%
Suppose a researcher compiled a data set consisting of the following variables for a sample of 200 women. For each variable, select whether it is discrete or continuous.
Variable Discrete Continuous
The number of college football games ever attended
The number of sons or daughters
The number of countries ever visited
Pounds of chocolate consumed in the past year
Shoe size
Height in inches
The number of pets currently living in the household
Answer:
Selecting whether each variable is discrete or continuous:
Discrete Variables:
The number of college football games ever attended
The number of sons or daughters
The number of countries ever visited
The number of pets currently living in the household
Continuous variables:
Pounds of chocolate consumed in the past year
Shoe size
Height in inches
Step-by-step explanation:
The researcher can distinguish a discrete variable from a continuous variable by checking if the value of the variable can be counted or measured. The researcher can count the value of a discrete variable, and she can measure the value of a continuous variable. In other words, a discrete variable represents countable objects and a continuous variable represents measurable amounts.
Using variable concepts, we have that the discrete variables are:
The number of college football games ever attendedThe number of sons or daughtersThe number of countries ever visitedThe number of pets currently living in the householdThe continuous variables are:
Pounds of chocolate consumed in the past year.Shoe size.Height in inches.What are continuous and discrete variables?Continuous variables: Can assume decimal values.Discrete variables: Assume only countable values, such as 0, 1, 2, 3, ...The variables that are countable, that is, discrete, are:
The number of college football games ever attendedThe number of sons or daughtersThe number of countries ever visitedThe number of pets currently living in the householdThe ones that can assume decimal values, hence being continuous are:
Pounds of chocolate consumed in the past year.Shoe size.Height in inches.You can learn more about continuous and discrete variables at brainly.com/question/16978770
some PLEASE help I need it done in 18 minutes
Answer:
area: 9
perimeter: 12
Step-by-step explanation:
Answer:
i gotchu
u=4a (equation for perimiter)
u=12
perimeter is 12
a=a2 (equation for area)
a=9
area is 9
:)
Which relations are functions?
A
x
y
-2
-4
-2 -6
0
-8
2
-10
B
x
y
0
4
10 5
20
6
10
7
C
x
y
2
-10
1 -20
0
-10
-1
-20
D
x
y
2.5
0
3.5 4
4.5
8
6.5
12
E
x
y
-10
4
-20 5
0
6
-10
7
Answer:
A. Relation
B. Relation
C. Function
D. Function
E. Relation
what would w equal?
Answer:
120
Step-by-step explanation:
It's NOT 100.
similar shapes have the same angles
so angle "D" is equal to angle "G"
PLEASE PLEASE HELP PLEASE
Answer:
x = -3
Step-by-step explanation:
2(4x + 6) = 8x + 12
3(x - 1) = 3x -3
8x + 12 = 3x - 3
5x = -15
x = -3
Answer:
x=-3
Step-by-step explanation:
2(4x+6)=3(x-1)
8x+12=3(x-1)
8x-3x+12= -3
8x-3x=-3-12
5x=-3-12
5x=-15
x=-3
Surface area of a cylinder
Answer:
Right cylinder
Step-by-step explanation:
Solve for surface arb
People also ask
How do u calculate the surface area of a cylinder?
The general formula for the total surface area of a cylinder is T. S. A. =2πrh+2πr2 .
How many times does 7/4 go into 7?
Answer:
1.75
Step-by-step explanation:
When you get a question like "How many times does 4 go into 7?", just think of it as how many times you can fit 4 into 7.
Oscar Montez’s savings account has a principal of $7,201. It earns 6% interest compounded month. What is the amount in the account at the end of the second month?
Answer:
I= P+ I= 7201x6x2/100 = 84,252/100 = $842.52
Simplify this expression.
1 + 4.25n + 3/2p – 3 + (–2p) + 5/4n
Answer:
5.5n-0.5p-4
Step-by-step explanation:
Make me the brainliest please!!
Explain why the two figures below are similar?
Answer:
6ix9ine
Step-by-step explanation:
Please help! I'll give the brainiest.
m∠1+m∠2+m∠3=180°
Step-by-step explanation:
A certain microprocessor requires either 2, 3, 4, 8, or 12 machine cycles to perform various operations. Twenty-five percent of its instructions require 2 machine cycles, 20% require 3 machine cycles, 17.5% require 4 machine cycles, 12.5% require 8 machine cycles, and 25% require 12 machine cycles. a) What is the average number of machine cycles per instruction for this microprocessor
Answer:
The average number of machine cycles per instruction for this microprocessor is 5.8.
Step-by-step explanation:
To find the average number of machine cycles per instruction for this microprocessor, we multiply each number of cycles for it's relative frequency.
We have that:
25% require 2 cycles.
20% require 3 cycles.
17.5% require 4 cycles.
12.5% require 8 cycles.
25% require 12 cycles.
So the average number is:
[tex]M = 0.25*2 + 0.2*3 + 0.175*4 + 0.125*8 + 0.25*12 = 5.8[/tex]